Signature via Novikov numbers
Symplectic Geometry
2015-06-26 v1 Algebraic Topology
Differential Geometry
Abstract
It is shown that the signature of a manifold with a symplectic circle action having only isolated fixed points, equals the alternating sum of the Novikov numbers corresponding to the cohomology class of the generalized moment map. The same is true for more general fixed point sets.
Keywords
Cite
@article{arxiv.math/9810020,
title = {Signature via Novikov numbers},
author = {Michael Farber},
journal= {arXiv preprint arXiv:math/9810020},
year = {2015}
}
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4 pages